An $8\mathrm{.}0-$kg object moving $4\mathrm{.}0$ m$/$s in the positive x direction has a one$-$dimensional collision with a $2\mathrm{.}0-$kg object moving $3\mathrm{.}0$ m$/$s in the opposite direction. The final velocity of the $8\mathrm{.}0-$kg object is $2\mathrm{.}0$ m$/$s in the positive x direction. What is the total kinetic energy of the two$-$mass system after the collision?

a$.$

$32$ J

b$.$

$52$ J

c$.$

$41$ J

d$.$

$25$ J

e$.$

$29$ J

a$.$

$9\mathrm{.}6$ Ns

b$.$

$2\mathrm{.}4$ Ns

c$.$

$6\mathrm{.}4$ Ns

d$.$

$1\mathrm{.}6$ Ns

e$.$

$1\mathrm{.}0$ Ns

a$.$

$9\mathrm{.}6$ Ns

b$.$

$2\mathrm{.}4$ Ns

c$.$

$6\mathrm{.}4$ Ns

d$.$

$1\mathrm{.}6$ Ns

e$.$

$1\mathrm{.}0$ Ns